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Finding the Third Proportional to 282,002.63 and 436,873.50

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Solution

The third proportional to 282,002.63 and 436,873.50 is: 676,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,002.63 : 436,873.50 = 436,873.50 : x
  2. Step 2: Convert to fraction form
    282,002.63/436,873.50 = 436,873.50/x
  3. Step 3: Cross multiply
    282,002.63x = 436,873.50 × 436,873.50
  4. Step 4: Simplify right side
    282,002.63x = 190,858,455,002.25
  5. Step 5: Solve for x
    x = 190,858,455,002.25/282,002.63
  6. Step 6: Final answer
    x = 676,796.73

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.